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Establishment of topological clustering method by linguistic rules

Research Project

Project/Area Number 17K00332
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Soft computing
Research InstitutionUniversity of Tsukuba

Principal Investigator

Endo Yasunori  筑波大学, システム情報系, 教授 (10267396)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywordsクラスタリング / 機械学習 / 持続性ホモロジー / 言語ルール / ファジィ推論 / パーシステントホモロジー / 位相的データ解析
Outline of Final Research Achievements

In this research project, we developed a topological language-based clustering technique that can flexibly grasp the structure of data by converting the concept of persistent homology, which plays a central role in topological data analysis, into language-based clustering and incorporating it into language-based clustering. Furthermore, we aimed at the theoretical development of topological language-based clustering and its practical application to mining social data by examining the mathematical relationships between conventional clustering techniques and development techniques.
We have obtained some results on the development of language-based clustering algorithms and clustering algorithms that incorporate persistent homology. Further study on making linguistic rules for persistent homology is a future topic.

Academic Significance and Societal Importance of the Research Achievements

言語ベースのクラスタリングを開発するためには、ソフトコンピューティング技法が欠かせない。本研究課題はそれらの理論を持続性ホモロジーという位相的データ解析の新概念を橋梁として人間の持つ知識と結びつけ、柔軟に処理する手法を開発するだけではなく、さらに俯瞰的立場、すなわち言語ベースという新たな地点に立った位相的データ解析手法の礎となることをゴールとしているものであり、本研究課題の成果によって、データ構造と人間の推論を巧みに組み入れた柔軟なデータ解析手法の深化が期待される。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (31 results)

All 2019 2018 2017

All Journal Article (6 results) (of which Peer Reviewed: 6 results,  Open Access: 3 results) Presentation (25 results) (of which Int'l Joint Research: 13 results,  Invited: 1 results)

  • [Journal Article] Kernel Fuzzy <i>c</i>-Regression Based on Least Absolute Deviation with Modified Huber Function2019

    • Author(s)
      Yusuke Oi, Yasunori Endo
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 23 Issue: 3 Pages: 571-576

    • DOI

      10.20965/jaciii.2019.p0571

    • NAID

      130007651644

    • ISSN
      1343-0130, 1883-8014
    • Year and Date
      2019-05-20
    • Related Report
      2019 Annual Research Report 2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Cluster Validity Measures Based Agglomerative Hierarchical Clustering for Network Data2019

    • Author(s)
      Yukihiro Hamasuna, Shusuke Nakano, Ryo Ozaki, Yasunori Endo
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 23 Issue: 3 Pages: 577-583

    • DOI

      10.20965/jaciii.2019.p0577

    • NAID

      130007651643

    • ISSN
      1343-0130, 1883-8014
    • Year and Date
      2019-05-20
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Application of Entropy Regularized Fuzzy c-Varieties Method with Noise Terms to Distribution Route Setting Problem2019

    • Author(s)
      Satoru Ota, Yasunori Endo, Tsutomu Suzuki
    • Journal Title

      The 16th International Conference on Modeling Decisions for Artificial Intelligence

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fuzzified Even-Sized Clustering Based on Optimization2018

    • Author(s)
      Kei Kitajima, Yasunori Endo, Yukihiro Hamasuna
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 22 Issue: 4 Pages: 537-543

    • DOI

      10.20965/jaciii.2018.p0537

    • NAID

      130007402383

    • ISSN
      1343-0130, 1883-8014
    • Year and Date
      2018-07-20
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Two-Stage Clustering Based on Cluster Validity Measures2018

    • Author(s)
      Yukihiro Hamasuna, Ryo Ozaki, Yasunori Endo
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 22 Issue: 1 Pages: 54-61

    • DOI

      10.20965/jaciii.2018.p0054

    • NAID

      130007492659

    • ISSN
      1343-0130, 1883-8014
    • Year and Date
      2018-01-20
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Even-Sized Clustering Based on Optimization and its Variants2018

    • Author(s)
      Yasunori Endo, Yukihiro Hamasuna, Tsubasa Hirano, Naohiko Kinoshita
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 22 Issue: 1 Pages: 62-69

    • DOI

      10.20965/jaciii.2018.p0062

    • NAID

      130007494685

    • ISSN
      1343-0130, 1883-8014
    • Year and Date
      2018-01-20
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 子群最適化を用いた目的関数最適化に基づくファジィクラスタリングに関する一考察2019

    • Author(s)
      Li Jie, 遠藤 靖典
    • Organizer
      第35回ファジィシステムシンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] ノイズ項を導入したエントロピー正則化ファジィc-多様体法と仮設道路の経路計画への応用2019

    • Author(s)
      太田 諭, 遠藤 靖典, 木本 直也
    • Organizer
      第35回ファジィシステムシンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] RNNによるDuffing方程式の解のふるまいのモデルフリー予測2019

    • Author(s)
      野澤 健三, 高安 亮紀, 遠藤 靖典
    • Organizer
      第35回ファジィシステムシンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] RNNによる現象を記述した微分方程式の解のふるまいのモデルフリー予測, 第35回ファジィシステムシンポジウム2019

    • Author(s)
      木南 優希, 遠藤 靖典, 高安 亮紀
    • Organizer
      第35回ファジィシステムシンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] クラスタサイズに制約を与えたc-回帰法とそのカーネル化について2019

    • Author(s)
      木本 直也, 遠藤 靖典
    • Organizer
      第35回ファジィシステムシンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] クラスタ分割が重み付きアルファ複体とホモトピー同値になるようなクラスタリングについて2019

    • Author(s)
      星野 翔大, 遠藤 靖典, 濱砂 幸裕
    • Organizer
      第35回ファジィシステムシンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] 一般化されたFuzzy c-Meansとノイズクラスタリングについて2019

    • Author(s)
      宮本 定明, 遠藤 靖典
    • Organizer
      第35回ファジィシステムシンポジウム
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On Linear Clustering with Constraints on Cluster Size2018

    • Author(s)
      Naoya Kimoto, Yasunori Endo
    • Organizer
      Joint 10th International Conference on Soft Computing and Intelligent Systems and 19th International Symposium on Advanced Intelligent Systems in conjunction with Intelligent Systems Workshop 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Even-sized Clustering with Noise Clustering method2018

    • Author(s)
      Kei Kitajima, Yasunori Endo
    • Organizer
      Joint 10th International Conference on Soft Computing and Intelligent Systems and 19th International Symposium on Advanced Intelligent Systems in conjunction with Intelligent Systems Workshop 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] An Objective-Based Clustering Algorithm whose Cluster Partition is Homotopy Equivalent to Weighted \alpha-Complex2018

    • Author(s)
      Yasunori Endo, Kanata Hoshino, Yukihiro Hamasuna
    • Organizer
      The 15th International Conference on Modeling Decisions for Artificial Intelligence
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] クラスタ分割が重み付きアルファ複体とホモトピー同値になるような目的関数最適化に基づくクラスタリングについて2018

    • Author(s)
      星野 翔大, 遠藤 靖典
    • Organizer
      第34回ファジィシステムシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] ノイズクラスタリング手法を導入したサイズ均等クラスタリングアルゴリズムについて2018

    • Author(s)
      北島 慧, 遠藤 靖典
    • Organizer
      第34回ファジィシステムシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] クラスタサイズに制約を与えたc-回帰法について2018

    • Author(s)
      木本 直也, 遠藤 靖典
    • Organizer
      第34回ファジィシステムシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] ラフ集合論の逆問題について2018

    • Author(s)
      宮本 定明, 遠藤 靖典
    • Organizer
      第34回ファジィシステムシンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] On Edge Penalty Based Hard and Fuzzy c-Medoids for Uncertain Networks2017

    • Author(s)
      Yukihiro Hamasuna, Yasunori Endo
    • Organizer
      The 14th International Conference on Modeling Decisions for Artificial Intelligence
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] On Fuzzified Even-sized Clustering Based on Optimization2017

    • Author(s)
      Kei Kitajima, Yasunori Endo, Yukihiro Hamasuna
    • Organizer
      The 14th International Conference on Modeling Decisions for Artificial Intelligence
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] On Kernel Switching Fuzzy c-Regression2017

    • Author(s)
      Yusuke Oi, Yasunori Endo
    • Organizer
      The 14th International Conference on Modeling Decisions for Artificial Intelligence
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Agglomerative Hierarchical Clustering Based on Local Optimization for Cluster Validity Measures2017

    • Author(s)
      Ryo Ozaki, Yukihiro Hamasuna, Yasunori Endo
    • Organizer
      2017 IEEE International Conference on Systems, Man, and Cybernetics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A note on fuzzified even-sized clustering based on optimization2017

    • Author(s)
      Kei Kitajima, Yasunori Endo
    • Organizer
      2017 Conference of the International Federation of Classification Societies
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Two roles of cluster validity measures for clustering network data2017

    • Author(s)
      Yukihiro Hamasuna, Ryo Ozaki, Yasunori Endo
    • Organizer
      2017 Conference of the International Federation of Classification Societies
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] On Various Types of Controlled-sized Clustering Based on Optimization2017

    • Author(s)
      Yasunori Endo, Sachiko Ishida, Naohiko Kinoshita, Yukihiro Hamasuna
    • Organizer
      2017 IEEE International Conference on Fuzzy Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Controlled-sized Clustering Based on Optimization2017

    • Author(s)
      Yasunori Endo, Sachiko Ishida, Naohiko Kinoshita
    • Organizer
      Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Hierarchical clustering algorithms with automatic estimation of the number of clusters2017

    • Author(s)
      Ryosuke Abe, Sadaaki Miyamoto, Yasunori Endo, Yukihiro Hamasuna
    • Organizer
      Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A Study on Cluster Validity Measures for Clustering Network Data2017

    • Author(s)
      Yukihiro Hamasuna, Ryo Ozaki, Yasunori Endo
    • Organizer
      Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] ファジィ推論を用いた新たな言語ベースクラスタリング2017

    • Author(s)
      伊藤 成彦, 遠藤 靖典
    • Organizer
      第33回ファジィシステムシンポジウム
    • Related Report
      2017 Research-status Report

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Published: 2017-04-28   Modified: 2021-02-19  

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